Altin, MustafaKazan, AhmetKaradag, H. Bayram2024-08-042024-08-0420201302-09002147-9429https://doi.org/10.2339/politeknik.634175https://search.trdizin.gov.tr/yayin/detay/420037https://hdl.handle.net/11616/92847In the present study, firstly we give the mean and Gaussian curvatures of a Monge hypersurface in 4-dimensional Euclidean space. After this, we study on Monge hypersurfaces in E-4 with different densities. In this context, we obtain the weighted minimal and weighted flat Monge hypersurfaces in E-4 with densities e(alpha x+beta y+yz+mu r)(linear density) and e(alpha x2+beta y2+yz2+mu t2) with the aid of different choices of constants alpha,beta,gamma and mu, where alpha,beta,gamma and mu are not all zero constants.eninfo:eu-repo/semantics/openAccessManifold with densityweighted mean curvatureweighted gaussian curvaturemonge hypersurfacesArticle23120721410.2339/politeknik.634175420037WOS:000506639500025N/A